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On the inverse diamond kernel of Marcel Riesz
2013
International Journal of Mathematical Analysis
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In this paper, we define the diamond Marcel Riesz operator of order (α, β) on the function f by where K α,β is diamond kernel of Marcel Riesz, α, β ∈ C, the symbol * designates the convolution, and f ∈ S, S is the Schwartz space of functions. Our purpose of this paper is to obtain the operator Our results generalize formulae appearing in A. Kananthai [On the convolutions of the diamond kernel of Marcel Riesz, Applied Mathematics and Computation, 114(2000), 95 − 101]. Mathematics Subject
doi:10.12988/ijma.2013.13040
fatcat:ibkf36w25zgljll7cojeukkxwm